R. Venkataramani, Y. Bresler, “Optimal sub-Nyquist nonuniform sampling and reconstruction for multiband signals,” IEEE Trans. Signal Process. 49, 2301–2313 (2001).

[CrossRef]

Y. Gao, S. J. Reeves, “Fast k-space sample selection in MRSI with a limited region of support,” IEEE Trans. Med. Imaging 20, 868–876 (2001).

[CrossRef]
[PubMed]

P. J. Bones, N. Alwesh, T. J. Connolly, N. D. Blakeley, “Recovery of limited-extent images aliased because of spectral undersampling,” J. Opt. Soc. Am. A 18, 2079–2088 (2001).

[CrossRef]

R. Van de Walle, H. H. Barrett, K. J. Myers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu, “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation,” IEEE Trans. Med. Imaging 19, 1160–1167 (2000).

[CrossRef]

Y. Gao, S. J. Reeves, “Optimal k-space sampling in MRSI for images with a limited region of support,” IEEE Trans. Med. Imaging 19, 1168–1178 (2000).

[CrossRef]

M. Unser, “Sampling—50 years after Shannon,” Proc. IEEE 88, 569–587 (2000).

[CrossRef]

S. K. Nagle, D. N. Levin, “Multiple region MRI,” Mag. Reson. Med. 41, 774–786 (1999).

[CrossRef]

S. J. Reeves, L. P. Heck, “Selection of observations in signal reconstruction,” IEEE Trans. Signal Process. 43, 788–791 (1995).

[CrossRef]

E. Ayanoǧlu, C.-L. I, R. D. Gitlin, I. Bar-David, “Analog diversity coding to provide transparent self-healing communication networks,” IEEE Trans. Commun. 42, 110–118 (1994).

[CrossRef]

D. O. Walsh, P. A. Nielsen-Delaney, “Direct method for superresolution,” J. Opt. Soc. Am. A 11, 572–579 (1994).

[CrossRef]

J. I. Jackson, C. H. Meyer, D. G. Nishimura, A. Macovski, “Selection of a convolution function for Fourier inversion using gridding,” IEEE Trans. Med. Imaging 10, 473–478 (1991).

[CrossRef]

A. J. Jerri, “The Shannon sampling theorem—its various extensions and applications: a tutorial review,” Proc. IEEE 65, 1565–1597 (1977).

[CrossRef]

L. A. Shepp, B. F. Logan, “The Fourier reconstruction of a head section,” IEEE Trans. Nucl. Sci. 21, 21–43 (1974).

[CrossRef]

H. J. Landau, “Necessary density conditions for sampling and interpolation of certain entire functions,” Acta Math. 117, 37–52 (1967).

[CrossRef]

R. Van de Walle, H. H. Barrett, K. J. Myers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu, “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation,” IEEE Trans. Med. Imaging 19, 1160–1167 (2000).

[CrossRef]

E. Ayanoǧlu, C.-L. I, R. D. Gitlin, I. Bar-David, “Analog diversity coding to provide transparent self-healing communication networks,” IEEE Trans. Commun. 42, 110–118 (1994).

[CrossRef]

E. Ayanoǧlu, C.-L. I, R. D. Gitlin, I. Bar-David, “Analog diversity coding to provide transparent self-healing communication networks,” IEEE Trans. Commun. 42, 110–118 (1994).

[CrossRef]

R. Van de Walle, H. H. Barrett, K. J. Myers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu, “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation,” IEEE Trans. Med. Imaging 19, 1160–1167 (2000).

[CrossRef]

R. Venkataramani, Y. Bresler, “Optimal sub-Nyquist nonuniform sampling and reconstruction for multiband signals,” IEEE Trans. Signal Process. 49, 2301–2313 (2001).

[CrossRef]

R. Venkataramani, Y. Bresler, “Further results on spectrum blind sampling of 2D signals,” in Proceedings of the IEEE International Conference on Image Processing (Institute of Electrical and Electronics Engineers, New York, 1998), pp. 752–756.

P. Feng, Y. Bresler, “Spectrum-blind minimum-rate sampling and reconstruction of multiband signals,” in Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (Institute of Electrical and Electronics Engineers, New York, 1996), pp. 1688–1691.

Y. Bresler, P. Feng, “Spectrum-blind minimum rate sampling and reconstruction of 2-D multiband signals,” in Proceedings of the IEEE International Conference on Image Processing (Institute of Electrical and Electronics Engineers, New York, 1996), pp. 701–704.

W. N. Brouw, “Aperture synthesis,” in Methods in Computational Physics, B. Alder, S. Fernbach, M. Rotenberg, eds., 14 (Academic, New York, 1975), pp. 131–175.

D. W. Chakeres, P. Schmalbrock, Fundamentals of Magnetic Resonance Imaging (Williams and Wilkins, Baltimore, Md., 1992).

R. Van de Walle, H. H. Barrett, K. J. Myers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu, “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation,” IEEE Trans. Med. Imaging 19, 1160–1167 (2000).

[CrossRef]

N. G. de Bruijn, “Pólya’s theory of counting,” in Applied Combinatorial Mathematics, E. F. Beckenbach, ed. (Wiley, New York, 1964), pp. 144–184.

R. Van de Walle, H. H. Barrett, K. J. Myers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu, “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation,” IEEE Trans. Med. Imaging 19, 1160–1167 (2000).

[CrossRef]

P. Feng, Y. Bresler, “Spectrum-blind minimum-rate sampling and reconstruction of multiband signals,” in Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (Institute of Electrical and Electronics Engineers, New York, 1996), pp. 1688–1691.

Y. Bresler, P. Feng, “Spectrum-blind minimum rate sampling and reconstruction of 2-D multiband signals,” in Proceedings of the IEEE International Conference on Image Processing (Institute of Electrical and Electronics Engineers, New York, 1996), pp. 701–704.

Y. Gao, S. J. Reeves, “Fast k-space sample selection in MRSI with a limited region of support,” IEEE Trans. Med. Imaging 20, 868–876 (2001).

[CrossRef]
[PubMed]

Y. Gao, S. J. Reeves, “Optimal k-space sampling in MRSI for images with a limited region of support,” IEEE Trans. Med. Imaging 19, 1168–1178 (2000).

[CrossRef]

E. Ayanoǧlu, C.-L. I, R. D. Gitlin, I. Bar-David, “Analog diversity coding to provide transparent self-healing communication networks,” IEEE Trans. Commun. 42, 110–118 (1994).

[CrossRef]

R. Van de Walle, H. H. Barrett, K. J. Myers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu, “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation,” IEEE Trans. Med. Imaging 19, 1160–1167 (2000).

[CrossRef]

G. H. Hardy, E. M. Wright, An Introduction to the Theory of Numbers, 3rd ed. (Clarendon, Oxford, UK, 1956).

S. J. Reeves, L. P. Heck, “Selection of observations in signal reconstruction,” IEEE Trans. Signal Process. 43, 788–791 (1995).

[CrossRef]

R. A. Horn, C. R. Johnson, Matrix Analysis (Cambridge University, Cambridge, UK, 1985).

E. Ayanoǧlu, C.-L. I, R. D. Gitlin, I. Bar-David, “Analog diversity coding to provide transparent self-healing communication networks,” IEEE Trans. Commun. 42, 110–118 (1994).

[CrossRef]

J. I. Jackson, C. H. Meyer, D. G. Nishimura, A. Macovski, “Selection of a convolution function for Fourier inversion using gridding,” IEEE Trans. Med. Imaging 10, 473–478 (1991).

[CrossRef]

A. J. Jerri, “The Shannon sampling theorem—its various extensions and applications: a tutorial review,” Proc. IEEE 65, 1565–1597 (1977).

[CrossRef]

R. A. Horn, C. R. Johnson, Matrix Analysis (Cambridge University, Cambridge, UK, 1985).

H. J. Landau, “Necessary density conditions for sampling and interpolation of certain entire functions,” Acta Math. 117, 37–52 (1967).

[CrossRef]

Z. P. Liang, P. C. Lauterbur, Principles of Magnetic Resonance Imaging: A Signal Processing Perspective (IEEE Press, Piscataway, N.J., 2000).

R. Van de Walle, H. H. Barrett, K. J. Myers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu, “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation,” IEEE Trans. Med. Imaging 19, 1160–1167 (2000).

[CrossRef]

S. K. Nagle, D. N. Levin, “Multiple region MRI,” Mag. Reson. Med. 41, 774–786 (1999).

[CrossRef]

Z. P. Liang, P. C. Lauterbur, Principles of Magnetic Resonance Imaging: A Signal Processing Perspective (IEEE Press, Piscataway, N.J., 2000).

L. A. Shepp, B. F. Logan, “The Fourier reconstruction of a head section,” IEEE Trans. Nucl. Sci. 21, 21–43 (1974).

[CrossRef]

J. I. Jackson, C. H. Meyer, D. G. Nishimura, A. Macovski, “Selection of a convolution function for Fourier inversion using gridding,” IEEE Trans. Med. Imaging 10, 473–478 (1991).

[CrossRef]

J. I. Jackson, C. H. Meyer, D. G. Nishimura, A. Macovski, “Selection of a convolution function for Fourier inversion using gridding,” IEEE Trans. Med. Imaging 10, 473–478 (1991).

[CrossRef]

R. Van de Walle, H. H. Barrett, K. J. Myers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu, “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation,” IEEE Trans. Med. Imaging 19, 1160–1167 (2000).

[CrossRef]

S. K. Nagle, D. N. Levin, “Multiple region MRI,” Mag. Reson. Med. 41, 774–786 (1999).

[CrossRef]

J. I. Jackson, C. H. Meyer, D. G. Nishimura, A. Macovski, “Selection of a convolution function for Fourier inversion using gridding,” IEEE Trans. Med. Imaging 10, 473–478 (1991).

[CrossRef]

Y. Gao, S. J. Reeves, “Fast k-space sample selection in MRSI with a limited region of support,” IEEE Trans. Med. Imaging 20, 868–876 (2001).

[CrossRef]
[PubMed]

Y. Gao, S. J. Reeves, “Optimal k-space sampling in MRSI for images with a limited region of support,” IEEE Trans. Med. Imaging 19, 1168–1178 (2000).

[CrossRef]

S. J. Reeves, L. P. Heck, “Selection of observations in signal reconstruction,” IEEE Trans. Signal Process. 43, 788–791 (1995).

[CrossRef]

D. W. Chakeres, P. Schmalbrock, Fundamentals of Magnetic Resonance Imaging (Williams and Wilkins, Baltimore, Md., 1992).

L. A. Shepp, B. F. Logan, “The Fourier reconstruction of a head section,” IEEE Trans. Nucl. Sci. 21, 21–43 (1974).

[CrossRef]

M. Unser, “Sampling—50 years after Shannon,” Proc. IEEE 88, 569–587 (2000).

[CrossRef]

R. Van de Walle, H. H. Barrett, K. J. Myers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu, “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation,” IEEE Trans. Med. Imaging 19, 1160–1167 (2000).

[CrossRef]

R. Venkataramani, Y. Bresler, “Optimal sub-Nyquist nonuniform sampling and reconstruction for multiband signals,” IEEE Trans. Signal Process. 49, 2301–2313 (2001).

[CrossRef]

R. Venkataramani, Y. Bresler, “Further results on spectrum blind sampling of 2D signals,” in Proceedings of the IEEE International Conference on Image Processing (Institute of Electrical and Electronics Engineers, New York, 1998), pp. 752–756.

G. H. Hardy, E. M. Wright, An Introduction to the Theory of Numbers, 3rd ed. (Clarendon, Oxford, UK, 1956).

H. J. Landau, “Necessary density conditions for sampling and interpolation of certain entire functions,” Acta Math. 117, 37–52 (1967).

[CrossRef]

E. Ayanoǧlu, C.-L. I, R. D. Gitlin, I. Bar-David, “Analog diversity coding to provide transparent self-healing communication networks,” IEEE Trans. Commun. 42, 110–118 (1994).

[CrossRef]

Y. Gao, S. J. Reeves, “Fast k-space sample selection in MRSI with a limited region of support,” IEEE Trans. Med. Imaging 20, 868–876 (2001).

[CrossRef]
[PubMed]

J. I. Jackson, C. H. Meyer, D. G. Nishimura, A. Macovski, “Selection of a convolution function for Fourier inversion using gridding,” IEEE Trans. Med. Imaging 10, 473–478 (1991).

[CrossRef]

Y. Gao, S. J. Reeves, “Optimal k-space sampling in MRSI for images with a limited region of support,” IEEE Trans. Med. Imaging 19, 1168–1178 (2000).

[CrossRef]

R. Van de Walle, H. H. Barrett, K. J. Myers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu, “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation,” IEEE Trans. Med. Imaging 19, 1160–1167 (2000).

[CrossRef]

L. A. Shepp, B. F. Logan, “The Fourier reconstruction of a head section,” IEEE Trans. Nucl. Sci. 21, 21–43 (1974).

[CrossRef]

S. J. Reeves, L. P. Heck, “Selection of observations in signal reconstruction,” IEEE Trans. Signal Process. 43, 788–791 (1995).

[CrossRef]

R. Venkataramani, Y. Bresler, “Optimal sub-Nyquist nonuniform sampling and reconstruction for multiband signals,” IEEE Trans. Signal Process. 49, 2301–2313 (2001).

[CrossRef]

D. O. Walsh, P. A. Nielsen-Delaney, “Direct method for superresolution,” J. Opt. Soc. Am. A 11, 572–579 (1994).

[CrossRef]

K. F. Cheung, R. J. Marks, “Imaging sampling below the Nyquist density without aliasing,” J. Opt. Soc. Am. A 7, 92–105 (1990).

[CrossRef]

P. J. Bones, N. Alwesh, T. J. Connolly, N. D. Blakeley, “Recovery of limited-extent images aliased because of spectral undersampling,” J. Opt. Soc. Am. A 18, 2079–2088 (2001).

[CrossRef]

S. K. Nagle, D. N. Levin, “Multiple region MRI,” Mag. Reson. Med. 41, 774–786 (1999).

[CrossRef]

A. J. Jerri, “The Shannon sampling theorem—its various extensions and applications: a tutorial review,” Proc. IEEE 65, 1565–1597 (1977).

[CrossRef]

M. Unser, “Sampling—50 years after Shannon,” Proc. IEEE 88, 569–587 (2000).

[CrossRef]

N. G. de Bruijn, “Pólya’s theory of counting,” in Applied Combinatorial Mathematics, E. F. Beckenbach, ed. (Wiley, New York, 1964), pp. 144–184.

G. H. Hardy, E. M. Wright, An Introduction to the Theory of Numbers, 3rd ed. (Clarendon, Oxford, UK, 1956).

R. A. Horn, C. R. Johnson, Matrix Analysis (Cambridge University, Cambridge, UK, 1985).

P. Feng, Y. Bresler, “Spectrum-blind minimum-rate sampling and reconstruction of multiband signals,” in Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (Institute of Electrical and Electronics Engineers, New York, 1996), pp. 1688–1691.

Y. Bresler, P. Feng, “Spectrum-blind minimum rate sampling and reconstruction of 2-D multiband signals,” in Proceedings of the IEEE International Conference on Image Processing (Institute of Electrical and Electronics Engineers, New York, 1996), pp. 701–704.

R. Venkataramani, Y. Bresler, “Further results on spectrum blind sampling of 2D signals,” in Proceedings of the IEEE International Conference on Image Processing (Institute of Electrical and Electronics Engineers, New York, 1998), pp. 752–756.

D. W. Chakeres, P. Schmalbrock, Fundamentals of Magnetic Resonance Imaging (Williams and Wilkins, Baltimore, Md., 1992).

Z. P. Liang, P. C. Lauterbur, Principles of Magnetic Resonance Imaging: A Signal Processing Perspective (IEEE Press, Piscataway, N.J., 2000).

W. N. Brouw, “Aperture synthesis,” in Methods in Computational Physics, B. Alder, S. Fernbach, M. Rotenberg, eds., 14 (Academic, New York, 1975), pp. 131–175.